On Positive Law Problems in the Class of Locally Graded Groups

DOI10.1081/AGB-120029906zbMath1069.20016OpenAlexW2089133739MaRDI QIDQ3155517

Olga Macedońska, Beata Bajorska

Publication date: 17 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120029906

zbMATH Keywords

locally graded groupssemigroup identitiesfree subsemigroupspositive lawssemigroup lawscollapsing groupsultrapowers of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Free semigroups, generators and relations, word problems (20M05) Quasivarieties and varieties of groups (20E10) Local properties of groups (20E25) Engel conditions (20F45) Ultraproducts and related constructions (03C20)

Related Items (2)

POSITIVE LAWS ON LARGE SETS OF GENERATORS: COUNTEREXAMPLES FOR INFINITELY GENERATED GROUPS ⋮ Positive laws on word values in residually-\(p\) groups.

Cites Work

• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties
• Combinatorial conditions in residually finite groups. II
• On the Finiteness of Certain Soluble Groups
• Semigroup identities in 4-Engel groups
• On Zel'manov's solution of the restricted Burnside problem
• Subsemigroups of nilpotent groups

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